A thermodynamic cycle consists of three processes. The physical cycle is a piston/cylinder system containing air at the starting condition of T=300 K, P=100 kPa, and V=1 m. The three processes are: i) The air is compressed to V=0.25 m in a process that keeps the internal energy, U, constant (State 1 to State 2). ii) The air is heated at constant volume until the pressure is 728.23 kPa (State 2 to State 3). iii) The air is expanded in a polytropic process (PV1.431-constant) to the original state (State 3 to State 1). First, what makes this a cycle? The key point is that it starts and ends at the same point. Hint: Note that air is an ideal gas here and that means that PV/T=constant if the mass is constant. (a) Fill in the following table. In Thermofluids, use air rather than air*: P (kPa) v (m/kg) T(K) State 1 2 3 (b) Next, fill in the following table: Process 1-2 2-3 3-1 w (kJ/kg) q (kJ/kg) u (kJ/kg) Au (kJ/kg) (c) Do you see anything unusual about Process 3-1? If you had to characterize the thermal behavior of the walls during this process, what could you say? (d) Compare the net work over the cycle with the net heat transfer (i.e., how does net q going in compare with net w going out)? (e) Find the cycle efficiency = w,net/q,in (don't include q,out here)